Rings of smooth functions and their localizations. I

DOI10.1016/0021-8693(86)90030-XzbMath0592.18005MaRDI QIDQ1075422

Gonzalo E. Reyes, Ieke Moerdijk

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

topos\(C^{\infty }\)-ringsfraction ringsHenselian-nesslocal \(C^{\infty }\)-ringsrings of smooth functions

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Topological rings and modules (13J99) Categories in geometry and topology (18F99) Rings and algebras of continuous, differentiable or analytic functions (46E25) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

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Separation theorems in the commutative algebra of C∞-rings and applications, \(C^{\infty}\)-algebras from the functional analytic view point, A constructive approach to nonstandard analysis, Tannaka duality for proper Lie groupoids, A sheaf-theoretic foundation for nonstandard analysis, Differential spaces of finite type, Unnamed Item, Unnamed Item, Beyond perturbation 1: de Rham spaces, Product-preserving functors on smooth manifolds, Unnamed Item, Algebraic Geometry over 𝐶^{∞}-rings, Finitely coordinated and finitely copresentable affine algebraic sets, Rings of smooth functions and their localizations. I

Cites Work

• Rings of smooth functions and their localizations. I
• Completeness results for intuitionistic and modal logic in a categorical setting
• Anneaux locaux henséliens
• C ∞ -Schemes
• A note on tangent bundles in a category with a ring object.
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